Find the sample size needed so that a 99.5% confidence interval will have margin of error of 1.5.
Keep in mind that without the population standard deviation, it is impossible to provide an exact sample size. However, this formula will give you a good starting point.
To find the sample size needed for a 99.5% confidence interval with a margin of error of 1.5, we can use the formula:
n = (Z * σ / E)^2
where n is the sample size, Z is the Z-score corresponding to the desired confidence level, σ is the population standard deviation, and E is the margin of error.
For a 99.5% confidence interval, the Z-score is approximately 2.807 (from a standard normal distribution table). Since we do not have the population standard deviation (σ), we will need to estimate it using a sample standard deviation or use a conservative approach by assuming the maximum possible value. For now, let's assume we have an estimated standard deviation.
n = (2.807 * σ / 1.5)^2
Solve for n by plugging in the estimated standard deviation (σ) and then round up to the nearest whole number, as you cannot have a fraction of a sample.
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help me pls i dont know how to do this correctly
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:
X = 8/3
Answer:
X=16
Step-by-step explanation:
The angles shown are Consecutive Exterior angles. Making them supplementary (meaning they equal 180)
we set up the equation like this.
7x-2+4x+6=180
combine the like terms
-2+6=4
7x+4x=11
11x+4=180
subtract 4
11x=176
divide by 11
x=16
Median of 3,6,9,7,4,6,7,0,7
The median, mean, range and mode will be 6, 5.4, 9 and 7.
What is median?
The median is the middle number in the data set when the data set is written from least to greatest.
The median is the number in the middle when arranged in an ascending order. The numbers will be:
0, 3, 4, 6, 6, 7, 7, 7, 9.
The median is 6.
The range is the difference between the highest and lowest number which is: = 9 - 0 = 9
The mode is the number that appears most which is 7.
The mean will be the average which will be:
= (0 + 3 + 4 + 6 + 6 + 7 + 7 + 7 + 9) / 9.
= 49/9
= 5.4
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WILL GIVE BRAINLIEST PLEASE HELP!
The correct statement regarding the angle measures is given as follows:
m < 1 + m < 4 > m < 3.
How to obtain the angle measures?The given angle measure is as follows:
m < 3 = 119º.
Angles 3 and 4 form a linear pair, meaning that they are supplementary, that is, the sum of their measures is of 180º.
Hence the measure of angle 4 is given as follows:
m < 4 + m < 3 = 180º.
m < 4 = 180º - 119º
m < 4 = 61º.
Angles 1 and 4 are opposite by the same vertex, hence they are congruent, thus the measure of angle 1 is given as follows:
m < 1 = m < 4
m < 1 = 61º.
Hence:
m < 1 + m < 4 = 2 x 61
m < 1 + m < 4 = 122º
122º > 119º
m < 1 + m < 4 > m < 3.
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Dominic is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The total cost of the gym membership over t months is given by the equation C=45t+100. What is the y-intercept of the equation and what is its interpretation in the context of the problem?
The slope intercept form is y=mx+b, and b represents the y-intercept. In the given equation C=45t+100, 100 is the y-intercept. It represents the one-time fee to join the gym membership.
Answer:
y intercept is 100
which represents the one-time joining fee
Step-by-step explanation:
F
G
H
J
If the diameter of a circle is 16 cm and the
intercepted arc length is 6m, what is the
measure of the central angle in radians?
3
8
3
7T
3
T
3²7
The measure of the central angle is 0.75 radians
How to solve an equation?An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.
The area of a figure is the amount of space it occupies in its two dimensional state.
The length of an arc with an angle of Ф is given by:
Length of arc = (Ф/360) * (π * diameter)
The diameter is 16 cm and intercepted arc length is 6 cm, hence:
Length of arc = (Ф/360) * (π * diameter)
6 = (Ф/360) * (π * 16)
Ф = 42.97°
Ф = 42.97° * π/180 = 0.75 radian
The measure of the central angle is 0.75 radians
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solve the system of equations y=5x-1 y=9x-9
Answer:
Look at the equations:
y
=
−
9
x
−
21
and
y
=
5
x
+
7
Because both equations equal (y), they both equal the same.
If an equations says "
y
=
−
9
x
−
21
" , that means we can replace (y) with
−
9
x
−
21
.
Therefore when i take the equation:
y
=
5
x
+
7
, we can replace (y) to get:
−
9
x
−
21
=
5
x
+
7
Now isolate (x):
−
9
x
−
21
=
5
x
+
7
⇔
−
21
=
14
x
+
7
⇔
−
28
=
14
x
⇔
x
=
−
2
Which polynomial is in standard form? Quick answer please!!
The polynomial that has its equation in a standard form is 18x^5 - 7x^2y - 2xy^2 + 17y^4
Identifying the polynomial in a standard formA polynomial in standard form is a polynomial that is written with the terms in descending order of degree, and each term is written with its coefficient and variable raised to its power.
The general form of a polynomial in standard form is:
\(a_nx^n + a_{n-1}x^{n-1} + ... + a_2x^2 + a_1x + a_0\)
Using the above as a guide, we have the following polynomial in standard form from the list of options
18x^5 - 7x^2y - 2xy^2 + 17y^4
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Helps pls! Please refer to the picture!
HELP!!!!!
Determine if each graph represents a function by using the vertical line test.
4 thru. 6
Answer:
[4] Function
[5] Not a function
[6] Function
Step-by-step explanation:
The vertical line test is a test to determine if the line graphed is a function. Taking a vertical line, you move it left and right through the graph. If, at any point, there are two or more intersections in the vertical line, the graph is not a function.
4 and 6 pass the test meaning they are functions, 5 does not.
The amount of money in an account may increase due to rising stock prices and decrease due to falling stock prices. Maggie is studying the change in the amount of money in two accounts, A and B, over time.
The amount f(x), in dollars, in account A after x years is represented by the function below:
f(x) = 9,628(0.92)x
Part A: Is the amount of money in account A increasing or decreasing and by what percentage per year? Justify your answer.
Part B: The table below shows the amount g(r), in dollars, of money in account B after r years.
r (number of years) 1 2 3 4
g(r) (amount in dollars) 8,972 8,074.80 7,267.32 6,540.59
Which account recorded a greater percentage change in amount of money over the previous year? Justify your answer.
The amount of money in account A is decreasing by 8% per year.
The account that recorded a greater percentage change in amount of money over the previous year is account B.
How to calculate the percentage?From the information, the amount f(x), in dollars, in account A after x years is represented by the function below:
f(x) = 9,628(0.92)x
Therefore, this shows a decrease and the percentage will be:
= 1 - 0.92
= 0.08
= 8%
The account that recorded a greater percentage change will be:
Account B = (8,972 - 8,074.80) / 8,972 × 100
= 10%
Therefore, B has a higher percentage.
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Please help
21. What are the missing coordinates of point Q?
P(0, c)
A.
B.
C.
D.
Session 2-Calculator Allowed
(-2a, 0)
(2a, 0)
(-2a, c)
(2a, c)
Q(?, ?) O
N(2a, 0)
"The correct answer is option A." The missing coordinates of point Q are (a, c/2).We are given the coordinates of points P and N as (0, c) and (2a, 0), respectively. We are also given that point Q lies on the same line as points P, Q, and N. We need to find the missing coordinates of point Q.
Since point Q lies on the same line as P, Q, and N, its x-coordinate must be halfway between the x-coordinates of points P and N. That is, the x-coordinate of Q is:
x-coordinate of Q = (x-coordinate of P + x-coordinate of N) / 2
x-coordinate of Q = (0 + 2a) / 2 = a
So, we know that the x-coordinate of point Q is a.
To find the y-coordinate of point Q, we can use the fact that point Q lies on the same line as point P, which has coordinates (0, c). The equation of the line passing through P and N is:
y - c = (0 - c) / (2a - 0) * (x - 0)
Simplifying this equation gives:
y - c = -c/2a * xy = -c/2a * x + c
Substituting x = a in this equation gives:
y = -c/2a * a + cy = -c/2 + cy = c/2
So, we know that the y-coordinate of point Q is c/2.
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I really need help please help
Answer:
M = 1/8t - 223.05
Step-by-step explanation:
Use the discriminant to determine how many and what kind of solutions the quadratic equation 2x^2 - 4x = -2 has.
Please explain how you got the solution.
20 Points! Thanks!
Answer: One Real Solution
We can Identify the coefficients a, b, and c from your equation because as it says, it is in the format of the quadratic equation ( ax^2 + bx + c = 0 )
a=2,b=-4,c=2
Now we can use the discriminant to determine how many solutions this has using the equation b^2 - 4ac
Once we plug in our coefficients:
(-4)^2 - 4 x 2 x 2
Once we simplify, we get 0.
One real solution.
I hope this helps.
In this case, we first need to simplify the given quadratic equation 2x² - 4x = -2, and to do so, we perform the following simplification steps:
For a quadratic equation of the form ax² + bx + c = 0, the discriminant is calculated using the following formula:
Δ = b² - 4ac
In this case, we have that the equation that we must solve is 2x²-4=-2, which implies that the corresponding coefficients are:
a = 2b = -4c = 2By introducing these values into the formula we get:
Δ = b² - 4ac = (-4)² - 4·(2)·(2) = 0
Therefore, the discriminant for the given quadratic equation is Δ=0=0, which is zero, and indicates that the equation 2x²-4=-2 has only one real root.
We can say: It has a Real solution.Richard buys a carton of oranges and measures the weight of 1 orange in the carton Which measure gives the most precise weight?
Answer:
0.8 lbs
Step-by-step explanation:
Ounces are typically used to measure liquid, so I would discourage choosing the top two. And, hopefully you know by now that an orange does not weigh 8 pounds.
9514 1404 393
Answer:
(a) 0.8 ounces (most precision)
(b) 8 ounces (best precision for likely weight of an orange)
Step-by-step explanation:
The most precision is obtained by using the smallest unit of measure. On this list, the smallest unit of measure is a tenth of an ounce. That is, the measure 0.8 ounces has the most precision.
__
It is unlikely that the weight of one orange will be 0.8 ounces. The smallest unit used in a measurement likely to correspond to the weight of an orange is 1 ounce, used in the measurement 8 ounces. That measurement has better precision than 0.8 pounds, because 0.1 pounds corresponds to 1.6 ounces.
In the number 98.48, what will you multiply by to get rid of the decimal?
Based on the number, 98.48, the number you need to multiply by to get rid of the decimal is 100.
What number should you multiply by to remove the decimal?The number that you multiply a number with if you want to remove the decimal has to be a power of 10. The power of 10 used will depend on the number of figures after the decimal.
If there is a single number after the decimal point, then multiply by 10.
If there are two numbers after the decimal point, multiply by 100.
If there are three numbers after the decimal point, multiply by 1,000.
In the case of 98.48, there are two number after the decimal point so you'll multiply by 100 to get:
= 98.48 x 100
= 9,848
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A file that is 268 megabytes is being downloaded if the download is 14.3% complete how many megabytes have been downloaded
26. Find the volume of a sphere with radius 6 m.
Answer:904.78m(cubed)
Step-by-step explanation:
I’m not quite sure how to prove this geometric proof.
For the given question, we will prove ABCD is a parallelogram
The proof will be as follows:
Statements Reason
1. AB ≅ CD Given
2. AB // CD Given
3. CB ≅ AD Given
4. CB // AD Given
5. ABCD is a parallelogram Parallegram theorem
Please look at the photo. Thank you!
The zeros with each multiplicity are given as follows:
Multiplicity one: x = 6.Multiplicity two: x = 11.Multiplicity three: x = -6 and x = -5.How to obtain the multiplicities?The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.
Considering the linear factors of the function in this problem, the zeros are given as follows:
(x + 6)³ -> zero at x = -6 with multiplicity of 3.(x - 11)² -> zero at x = 11 with multiplicity of 2.x - 6 -> zero at x = 6 with multiplicity of 1.(x + 5)³ -> zero at x = -5 with multiplicity of 3.More can be learned about the Factor Theorem at brainly.com/question/24729294
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please help -2=3x/5+1
Answer:
X = -5
Step-by-step explanation:
Subtract one from both sides
- 3 = 3x / 5
multiply by 5 to remove fraction
-15 = 3x
divide by 3
x = -5
Answer:
x = -5
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
The equation is,
→ -2 = (3x/5) + 1
Then the value of x will be,
→ -2 = (3x/5) + 1
→ (3x/5) + 1 = -2
→ (3x/5) = -2 - 1
→ (3x/5) = -3
→ 3x = -3 × 5
→ 3x = -15
→ x = -15/3
→ [ x = -5 ]
Hence, the value of x is -5.
17
Here are ticket prices for a theme park.
Single tickets
Adult £48 Child £26
Special offer tickets
1 adult and 2 children £82
2 adults and 2 children £120
17 (a)
Freya buys tickets for 3 adults and 4 children.
She pays the cheapest possible total cost.
How much does she save compared to buying all single tickets?
Answer:
She saved $46
Step-by-step explanation:
1. Price for 3 adults would be $144
2. Price for 4 children would be $104
3. Total price for individual tickets would be $248
4. She bought 1 of [Combo 1] and 1 of [Combo 2]
5. Therefore, she paid $202
6. She saved $46
What is the perimeter of the shape below? Use 3.14 for pi. Answer with numbers only, no units.
DO NOT ROUND THE ANSWER
Step-by-step explanation:
The circumference of a WHOLE circle = pi * d
you have 1/2 of this and d = 10 ft
so 1/2 pi * 10 PLUS the two straight sides + 8+6
1/2 pi * 10 + 8 + 6
5 pi + 8 + 6
5 * 3.14 + 14 = 29.7 ft
5x +2 =22
what is the answer?
Answer:
x=4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Given
5x + 2 = 22
5x = 22 - 2
5x = 20
x = 20 / 5
x = 4
Which of the following quadrilaterals is also a parallelogram?
Answer:
RECTANGLEA rectangle is a parallelogram with four right angles, so all rectangles are also parallelograms and quadrilaterals.
Graph the following equation. y=-3x+1
Answer:
See below
Step-by-step explanation:
The graph crosses the y axis at 1. The slope is -3. If you start at the point (0,1) where the line crosses the x axis and go down 3 and right 1, you will be back on the line (1,-2). -3 is the steepness of the line.
Helping in the name of Jesus.
I need help with my math
Let:
\(\begin{gathered} (x1,y1)=(3,30) \\ (x2,y2)=(5,50) \\ so\colon \\ m=\frac{y2-y1}{x2-x1}=\frac{50-30}{5-3}=\frac{20}{2}=10 \\ \end{gathered}\)using the point-slope equation:
\(\begin{gathered} y-y1=m(x-x1) \\ y-30=10(x-3) \\ y-30=10x-30 \\ y=10x \end{gathered}\)so:
\(\begin{gathered} (6,60) \\ 60=10(6) \\ 60=60 \\ True \end{gathered}\)Answer:
C (6,60)
A positive integer is 6 less than another. If the sum of the reciprocal of the smaller and twice the reciprocal of the larger is frac(5,9), then find the two integers.
The two integers are equal to 1 and 7 respectively.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Let x represent the smaller number. Then the given relationships say ...
1/x + 2/(x+6) = 9/7
Multiplying by 7x(x+6), we have ...
7(x+6) +14x = 9x(x+6)
9x² +54x = 21x +42 . . . . .eliminate parentheses, swap sides
9x² +33x = 42 . . . . . . . . ...subtract 21x
3x² +11 -14 = 0 . . . . . . . . . .subtract 42 and divide by 3
(3x +14)(x -1) = 0 . . . . . . . . factor
Values of x that make this true are x = 1 and x = -14/3. Then for the positive integer x=1, the other integer is x+6=7.
Therefore, the two integers are equal to 1 and 7 respectively.
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Drag the correct white tile to the gray box with the matching expression. 3-1/2 31/32 31/2 31/12 12 1/1/2 * 34 g B 44 23 27/13-3700 112/17 - 8/1/2
The correct matching of the fractions will be:
12 1/2 - 9 1/4 = 3 1/4
5 3/4 - 2 5/12 = 3 1 /3
7 1/5 - 3 7 / 10 = 3 1/2
11 2/3 - 8 1/2 = 3 1/6
How to calculate the FractionA fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
12 1/2 - 9 1/4
= 12 2/4 - 9 1/4
= 3 1/4
5 3/4 - 2 5/12
= 5 9 / 12 - 2 5 /12
= 3 1 /3
7 1/5 - 3 7 / 10
= 7 2/10 - 3 7/10
= 3 1/2
11 2/3 - 8 1/2
= 11 4/6 - 8 3/6
= 3 1/6
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Question 2 of 39
Look at this series: 56, 54, 50, 38, 34, ... What number should come next?
A) 23
B) 18
C) 20
D) 32
E) 26
Answer:
D) 32
Step-by-step explanation:
Given;
series: 56, 54, 50, 38, 34, ....
find the difference between successive numbers;
56 54 50 38 34 x
2 4 12 4 2
The highest difference between the numbers is 12, after which it decreases to 4 and finally back 2.
The next number "x" is calculated as;
34 - 2 = x
34 - 2 = x
32 = x
Therefore, the next number should be 32.
The next number that should come next in the series is 32.
Sequence is an arrangement of two or more things in a successive order. Series is the cumulative sum of a given sequence of terms.
Given the numbers in the series: 56, 54, 50, 38, 34, . . ..
The difference is 2, 4, 12, 4, 2
The highest difference between the numbers is 12, after which it decreases to 4 and finally back 2. Hence:
The next number = 34 - 2 = 32
The next number that should come next in the series is 32.
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